1057112985600 has 2457 divisors, whose sum is σ = 4856596391847. Its totient is φ = 227412541440.

The previous prime is 1057112985587. The next prime is 1057112985601. The reversal of 1057112985600 is 65892117501.

The square root of 1057112985600 is 1028160.

It is a perfect power (a square), and thus also a powerful number.

1057112985600 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 11 + 29 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24726933504 + 1032386052096 = 157248^2 + 1016064^2 .

It is a super-2 number, since 2×1057112985600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1057112985601) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 62183116792 + ... + 62183116808.

Almost surely, 2^{1057112985600} is an apocalyptic number.

1057112985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057112985600 is the 1028160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057112985600

1057112985600 is an abundant number, since it is smaller than the sum of its proper divisors (3799483406247).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057112985600 is an frugal number, since it uses more digits than its factorization.

1057112985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1057112985600 in words is "one trillion, fifty-seven billion, one hundred twelve million, nine hundred eighty-five thousand, six hundred".